Kinematics of the Solid Particle Accelerated by a Flow of Gas in a Supersonic Nozzle and Work Hardening of the Processed Surface

A. I. Dolmatov, S. V. Sergeev, M. O. Kurin, V. V. Voronko, T. V. Loza

National Aerospace University ‘Kharkiv Aviation Institute’, 17 Chkalov Str., 61070 Kharkiv, Ukraine

Received: 17.12.2014; final version - 26.05.2015. Download: PDF

This investigation is concerned with an actual problem of determining the velocity of the solid particles inside and outside convergent-divergent (Laval) nozzle by analytical methods. The kinetic energy of a particle and its most important component–velocity are the most important performance criteria, which characterise any process, based on the high-speed particle contact with the substrate. Parameter, which describes the acceleration of the gas flow in the nozzle outfall, is introduced to obtain analytical dependence for easy calculation of the speed of the particles in nozzle. The dependence of particle velocity in the channel of Laval nozzle on parameters of gas flow and particles (density and diameter) is defined. The equations are obtained, which make it possible to calculate the particle velocity and energy upon collision with the substrate on the basis of theoretical studies of kinematics of particles being accelerated in the nozzle gas flow. The dependences of particle energy at the nozzle outfall on speed of gas flow and particle diameter are presented. The influence of processing parameters on the work hardening performances of the material surface is discussed.

Key words: velocity of abrasive particles, strain hardening, two-phase flow, channel of nozzle, abrasive flow processing.

URL: http://mfint.imp.kiev.ua/en/abstract/v37/i07/0871.html

DOI: https://doi.org/10.15407/mfint.37.07.0871

PACS: 45.50.Jf, 47.27.nf, 47.40.Ki, 47.60.Kz, 47.61.Jd, 47.85.mb, 81.65.-b

Citation: A. I. Dolmatov, S. V. Sergeev, M. O. Kurin, V. V. Voronko, and T. V. Loza, Kinematics of the Solid Particle Accelerated by a Flow of Gas in a Supersonic Nozzle and Work Hardening of the Processed Surface, Metallofiz. Noveishie Tekhnol., 37, No. 7: 871—885 (2015) (in Russian)


REFERENCES
  1. S. V. Sergeev, T. V. Loza, and A. P. Petrenko, Collection of Scientific Works 'Voprosy Proektirovaniya i Proizvodstva Konstruktsiy Letatel'nykh Apparatov', Iss. 4 (76), 80 (2013) (in Russian).
  2. A. A. Andilakhay, Visnyk Natsional'nogo Tekhnichnogo Universytetu 'HPI'. Tematichnyy Vypusk 'Tekhnologii v Mashynobuduvanni', No. 53: 4 (2010) (in Ukrainian).
  3. A. E. Provolotskiy, Struyno-Abrazivnaya Obrabotka Detaley Mashin [Abrasive-Jet Machining of Machinery Parts] (Kiev: Tekhnika: 1989) (in Russian).
  4. M. G. Isupov, Tekhnologiya Mashinostroeniya, No. 2: 36 (2003) (in Russian).
  5. V. E. Arkhipov, A. F. Londarskiy, A. F. Mel'shanov, G. V. Moskvitin, and M. S. Pugachev, Zavodskaya Laboratoriya. Diagnostika Materialov, Iss. 4: 45 (2010) (in Russian).
  6. D. K. Zaytsev, Nauchno-Tekhnicheskie Vedomosti SPbGPU, No. 3 (59): 61 (2008) (in Russian).
  7. K. A. Putilov, Kurs Fiziki. Mekhanika. Akustika. Molekulyarnaya Fizika. Termodinamika [Course of Physics. Mechanics. Acoustics. Molecular Physics. Thermodynamics] (Moscow: Fizmatgiz: 1963) (in Russian).
  8. I. N. Bronshteyn and K. A. Semendyaev, Spravochnik po Matematike dlya Inzhenerov i Studentov VTUZov [Handbook of Mathematics for Engineers and Students of Higher Technical Colleges] (Moscow: Nauka: 1986) (in Russian).
  9. G. A. Kravtsov, Uravnenie Rikkati i Ego Obshchee Reshenie, http://www.itsway.kiev.ua/pdf/Articles010306.pdf (2006).
  10. G. A. Kravtsov, Uravnenie Rikkati. Teoriya i Teorema Pis'mennogo–Prohorovoy–Kurzheevskogo, http://www.itsway.kiev.ua/pdf/Articles18012006.pdf (2006).
  11. A. A. Dorofeev, Osnovy Teorii Teplovykh Raketnykh Dvigateley. Teoriya, Raschet i Proektirovanie [Fundamental of Theory of Heat Propulsion Engine. Theory, Calculation and Design] (Moscow: Izd-vo MGTU im. N. E. Baumana: 2010) (in Russian).
  12. Ya. M. Shapiro, Vneshnyaya Ballistika [External Ballistics] (Moscow: Oborongiz: 1946) (in Russian).
  13. Praxair Surface Technologies (Praxair Technology, Inc.: 2009); http://www.praxairsurfacetechnologies.com
  14. S. N. Bardinova, Issledovanie Kachestva Poverkhnostnogo Sloya pri Drobestruynoy Obrabotke v Remontnom Proizvodstve [Study of the Surface Layer Quality under Shot Blasting at the Repair Facilities] (Rybinsk: RGATU: 2013) (in Russian).
  15. A. S. Donskov and A. V. Prokhorov, Vestnik PNIPU. Mashinostroenie, Materialovedenie, No. 3: 69 (2010) (in Russian).